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. Fora data matrix X, let S = n'lXTHX , where H :1 n1 1 T. H H (i) Show that H is idempotent. (ii)

. Fora data matrix X, let S = n'lXTHX , where H :1\" n\"1 1 T. H H (i) Show that H is idempotent. (ii) Using part (i), prove that S is positive semi definite

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